Modified No-hair Conjecture and the Limiting Process

Physics

Scientific paper

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Brans-Dicke Theory, Its Limit In General Relativity

Scientific paper

It is argued that the Schwarzschild black hole solution follows as a unique limit of the Brans-Dicke Class I solutions, provided the correct iterated limit is taken. Such a uniqueness is essential for the validity of a recent version of the no-hair conjecture. A non-trivial modification to this version is proposed in order to exclude Brans-Dicke Class IV solutions which appear to represent scalar hair black holes in general.

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